Join the Joint

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT




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A person was killed at a house party. When the police arrive, there are six people present in the house who are the friends of the victim. The name of the friends is Rohit, Aman, Nick, Gagan, and Randy.

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The police arrests one of the friends for the murder. Whom did they arrest and why?

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In the 1920s, people feared that crossword puzzles would contribute to illiteracy.